Optical image capturing system

ABSTRACT

A two-piece optical lens for capturing image and a two-piece optical module for capturing image are provided. In order from an object side to an image side, the optical lens along the optical axis includes a first lens with positive refractive power; and a second lens with refractive power; and at least one of the image-side surface and object-side surface of each of the two lens elements are aspheric. The optical lens can increase aperture value and improve the imagining quality for use in compact cameras.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims the benefit of Taiwan Patent Application No.104131903, filed on Sep. 25, 2015, in the Taiwan Intellectual PropertyOffice, the disclosure of which is incorporated herein in its entiretyby reference.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present disclosure relates to an optical image capturing system, andmore particularly to a compact optical image capturing system which canbe applied to electronic products.

2. Description of the Related Art

In recent years, with the rise of portable electronic devices havingcamera functionalities, the demand for an optical image capturing systemis raised gradually. The image sensing device of ordinary photographingcamera is commonly selected from charge coupled device (CCD) orcomplementary metal-oxide semiconductor sensor (CMOS Sensor). Inaddition, as advanced semiconductor manufacturing technology enables theminimization of pixel size of the image sensing device, the developmentof the optical image capturing system directs towards the field of highpixels. Therefore, the requirement for high imaging quality is rapidlyraised.

The traditional optical image capturing system of a portable electronicdevice comes with different designs, and mainly includes a second-lensdesign. However, the requirement for the higher pixels and therequirement for a large aperture of an end user, like functionalities ofmicro filming and night view, or the requirement of wide view angle ofthe portable electronic device have been raised. But the optical imagecapturing system with the large aperture design often produces moreaberration resulting in the deterioration of quality in peripheral imageformation and difficulties of manufacturing, and the optical imagecapturing system with wide view angle design increases distortion ratein image formation, thus the optical image capturing system in priorarts cannot meet the requirement of the higher order camera lens module.

Therefore, how to effectively increase quantity of incoming light andview angle of the optical lenses, not only further improves total pixelsand imaging quality for the image formation, but also considers theequity design of the miniaturized optical lenses, becomes a quiteimportant issue.

SUMMARY OF THE INVENTION

The aspect of embodiment of the present disclosure directs to an opticalimage capturing system and an optical image capturing lens which usecombination of refractive powers, convex and concave surfaces oftwo-piece optical lenses (the convex or concave surface in thedisclosure denotes the geometrical shape of an image-side surface or anobject-side surface of each lens on an optical axis) to increase thequantity of incoming light of the optical image capturing system and theview angle of the optical lenses, and to improve total pixels andimaging quality for image formation, so as to be applied to minimizedelectronic products.

The term and its definition to the lens element parameter in theembodiment of the present invention are shown as below for furtherreference.

The lens element parameter related to a length or a height in the lenselement

A height for image formation of the optical image capturing system isdenoted by HOI. A height of the optical image capturing system isdenoted by HOS. A distance from the object-side surface of the firstlens element to the image-side surface of the second lens element isdenoted by InTL. A distance from the image-side surface of the secondlens element to an image plane is denoted by InB, and InTL+InB=HOS Adistance from an aperture stop (aperture) to an image plane is denotedby InS. A distance from the first lens element to the second lenselement is denoted by IN12 (instance). A central thickness of the firstlens element of the optical image capturing system on the optical axisis denoted by TP1 (instance).

The lens element parameter related to a material in the lens element

An Abbe number of the first lens element in the optical image capturingsystem is denoted by NA1 (instance). A refractive index of the firstlens element is denoted by Nd1 (instance).

The lens element parameter related to a view angle in the lens element

A view angle is denoted by AF. Half of the view angle is denoted by HAF.A major light angle is denoted by MRA.

The lens element parameter related to exit/entrance pupil in the lenselement

An entrance pupil diameter of the optical image capturing system isdenoted by HEP. A maximum effective half diameter (EHD) of any surfaceof a single lens element refers to a perpendicular height between anintersection point on the surface of the lens element where the incidentlight with the maximum view angle in the optical system passes throughthe outmost edge of the entrance pupil and the optical axis. Forexample, the maximum effective half diameter of the object-side surfaceof the first lens element is denoted by EHD 11. The maximum effectivehalf diameter of the image-side surface of the first lens element isdenoted by EHD 12. The maximum effective half diameter of theobject-side surface of the second lens element is denoted by EHD 21. Themaximum effective half diameter of the image-side surface of the secondlens element is denoted by EHD 22. The maximum effective half diametersof any surfaces of other lens elements in the optical image capturingsystem are denoted in the similar way.

The lens element parameter related to a depth of the lens element shape

A distance in parallel with an optical axis from a maximum effectivediameter position to an axial point on the object-side surface of thesecond lens element is denoted by InRS11 (instance). A distance inparallel with an optical axis from a maximum effective diameter positionto an axial point on the image-side surface of the second lens elementis denoted by InRS22 (instance).

The lens element parameter related to the lens element shape

A critical point C is a tangent point on a surface of a specific lenselement, and the tangent point is tangent to a plane perpendicular tothe optical axis and the tangent point cannot be a crossover point onthe optical axis. To follow the past, a distance perpendicular to theoptical axis between a critical point C11 on the object-side surface ofthe first lens element and the optical axis is HVT11 (instance). Adistance perpendicular to the optical axis between a critical point C12on the image-side surface of the first lens element and the optical axisis HVT12 (instance). A distance perpendicular to the optical axisbetween a critical point C21 on the object-side surface of the secondlens element and the optical axis is HVT21 (instance). A distanceperpendicular to the optical axis between a critical point C22 on theimage-side surface of the second lens element and the optical axis isHVT22 (instance). Distances perpendicular to the optical axis betweencritical points on the object-side surfaces or the image-side surfacesof other lens elements and the optical axis are denoted in the similarway described above.

The object-side surface of the second lens element has one inflectionpoint IF211 which is nearest to the optical axis, and the sinkage valueof the inflection point IF211 is denoted by SGI211 (instance). SGI211 isa horizontal shift distance in parallel with the optical axis from anaxial point on the object-side surface of the second lens element to theinflection point which is nearest to the optical axis on the object-sidesurface of the second lens element. A distance perpendicular to theoptical axis between the inflection point IF211 and the optical axis isHIF211 (instance). The image-side surface of the second lens element hasone inflection point IF221 which is nearest to the optical axis and thesinkage value of the inflection point IF221 is denoted by SGI221(instance). SGI221 is a horizontal shift distance in parallel with theoptical axis from an axial point on the image-side surface of the secondlens element to the inflection point which is nearest to the opticalaxis on the image-side surface of the second lens element. A distanceperpendicular to the optical axis between the inflection point IF221 andthe optical axis is HIF221 (instance).

The object-side surface of the second lens element has one inflectionpoint IF212 which is the second nearest to the optical axis and thesinkage value of the inflection point IF212 is denoted by SGI212(instance). SGI212 is a horizontal shift distance in parallel with theoptical axis from an axial point on the object-side surface of thesecond lens element to the inflection point which is the second nearestto the optical axis on the object-side surface of the second lenselement. A distance perpendicular to the optical axis between theinflection point IF212 and the optical axis is HIF212 (instance). Theimage-side surface of the second lens element has one inflection pointIF222 which is the second nearest to the optical axis and the sinkagevalue of the inflection point IF222 is denoted by SGI222 (instance).SGI222 is a horizontal shift distance in parallel with the optical axisfrom an axial point on the image-side surface of the second lens elementto the inflection point which is the second nearest to the optical axison the image-side surface of the second lens element. A distanceperpendicular to the optical axis between the inflection point IF222 andthe optical axis is HIF222 (instance).

The object-side surface of the second lens element has one inflectionpoint IF213 which is the third nearest to the optical axis and thesinkage value of the inflection point IF213 is denoted by SGI213(instance). SGI213 is a horizontal shift distance in parallel with theoptical axis from an axial point on the object-side surface of thesecond lens element to the inflection point which is the third nearestto the optical axis on the object-side surface of the second lenselement. A distance perpendicular to the optical axis between theinflection point IF213 and the optical axis is HIF213 (instance). Theimage-side surface of the second lens element has one inflection pointIF223 which is the third nearest to the optical axis and the sinkagevalue of the inflection point IF223 is denoted by SGI223 (instance).SGI223 is a horizontal shift distance in parallel with the optical axisfrom an axial point on the image-side surface of the second lens elementto the inflection point which is the third nearest to the optical axison the image-side surface of the second lens element. A distanceperpendicular to the optical axis between the inflection point IF223 andthe optical axis is HIF223 (instance).

The object-side surface of the second lens element has one inflectionpoint IF214 which is the fourth nearest to the optical axis and thesinkage value of the inflection point IF214 is denoted by SGI214(instance). SGI214 is a horizontal shift distance in parallel with theoptical axis from an axial point on the object-side surface of thesecond lens element to the inflection point which is the fourth nearestto the optical axis on the object-side surface of the second lenselement. A distance perpendicular to the optical axis between theinflection point IF614 and the optical axis is HIF214 (instance). Theimage-side surface of the second lens element has one inflection pointIF224 which is the fourth nearest to the optical axis and the sinkagevalue of the inflection point IF224 is denoted by SGI224 (instance).SGI224 is a horizontal shift distance in parallel with the optical axisfrom an axial point on the image-side surface of the second lens elementto the inflection point which is the fourth nearest to the optical axison the image-side surface of the second lens element. A distanceperpendicular to the optical axis between the inflection point IF224 andthe optical axis is HIF224 (instance).

The inflection points on the object-side surfaces or the image-sidesurfaces of the other lens elements and the distances perpendicular tothe optical axis thereof or the sinkage values thereof are denoted inthe similar way described above.

The lens element parameter related to an aberration

Optical distortion for image formation in the optical image capturingsystem is denoted by ODT. TV distortion for image formation in theoptical image capturing system is denoted by TDT. Further, the range ofthe aberration offset for the view of image formation may be limited to50%-100%. An offset of the spherical aberration is denoted by DFS. Anoffset of the coma aberration is denoted by DFC.

The vertical coordinate axis of the characteristic diagram of modulationtransfer function represents a contrast transfer rate (values are from 0to 1). The horizontal coordinate axis represents a spatial frequency(cycles/mm; 1 p/mm; line pairs per mm). Theoretically, an ideal imagecapturing system can 100% show the line contrast of a photographedobject. However, the values of the contrast transfer rate at thevertical coordinate axis are smaller than 1 in the actual imagecapturing system. The transfer rate of its comparison value is less thana vertical axis. In addition, comparing to the central region, it isgenerally more difficult to achieve a fine degree of recovery in theedge region of image capturing. The contrast transfer rates (MTF values)with spatial frequencies of 10 cycles/m at the optical axis, 0.3 fieldof view and 0.7 field of view of a visible spectrum on the image planeare respectively denoted by MTFE0, MTFE3 and MTFE7. The contrasttransfer rates (MTF values) with spatial frequencies of 20 cycles/m atthe optical axis, 0.3 field of view and 0.7 field of view on the imageplane are respectively denoted by MTFQ0, MTFQ3 and MTFQ7. The contrasttransfer rates (MTF values) with spatial frequencies of 40 cycles/m atthe optical axis, 0.3 field of view and 0.7 field of view on the imageplane are respectively denoted by MTFH0, MTFH3 and MTFH7. The contrasttransfer rates (MTF values) with spatial frequencies of 440 cycles/m atthe optical axis, 0.3 field of view and 0.7 field of view on the imageplane are respectively denoted by MTF0, MTF3 and MTF7. The three fieldsof view described above are representative to the centre, the internalfield of view and the external field of view of the lens elements. Thus,they may be used to evaluate whether the performance of a specificoptical image capturing system is excellent. The design of the opticalimage capturing system of the present invention mainly corresponds to apixel size in which a sensing device below 1.12 micrometers is includes.Therefore, the quarter spatial frequencies, the half spatial frequencies(half frequencies) and the full spatial frequencies (full frequencies)of the characteristic diagram of modulation transfer functionrespectively are at least 110 cycles/mm, 220 cycles/mm and 440cycles/mm.

If an optical image capturing system needs to satisfy with the imagesaimed to infrared spectrum, such as the requirement for night visionwith lower light source, the used wavelength may be 850 nm or 800 nm. Asthe main function is to recognize shape of an object formed inmonochrome and shade, the high resolution is unnecessary, and thus, aspatial frequency, which is less than 110 cycles/mm, is used to evaluatethe functionality of the optical image capturing system, when theoptical image capturing system is applied to the infrared spectrum. Whenthe foregoing wavelength 850 nm is applied to focus on the image plane,the contrast transfer rates (MTF values) with a spatial frequency of 55cycles/mm at the optical axis, 0.3 field of view and 0.7 field of viewon the image plane are respectively denoted by MTFI0, MTFI3 and MTFI7.However, the infrared wavelength of 850 nm or 800 nm may be hugelydifferent to wavelength of the regular visible light wavelength, andthus, it is hard to design an optical image capturing system which hasto focus on the visible light and the infrared light (dual-mode)simultaneously while achieve a certain function respectively.

The disclosure provides an optical image capturing system, anobject-side surface or an image-side surface of the second lens elementmay have inflection points, such that the angle of incidence from eachview field to the second lens element can be adjusted effectively andthe optical distortion and the TV distortion can be corrected as well.Besides, the surfaces of the second lens element may have a betteroptical path adjusting ability to acquire better imaging quality.

The disclosure provides an optical image capturing system, in order froman object side to an image side, including a first lens element, asecond lens element, and an image plane. The first lens element hasrefractive power. Focal lengths of the first and the second lenselements are f1 and f2 respectively. A focal length of the optical imagecapturing system is f. An entrance pupil diameter of the optical imagecapturing system is HEP. A distance from an object-side surface of thefirst lens element to the image plane is HOS. Thicknesses in parallelwith an optical axis of the first and second lens elements at height ½HEP respectively are ETP1 and ETP2. A sum of ETP1 to ETP2 describedabove is SETP. Thicknesses of the first and second lens elements on theoptical axis respectively are TP1 and TP2. A sum of TP1 and TP2described above is STP. The following relations are satisfied:1.2≦f/HEP≦10.0 and 0.5≦SETP/STP<1.

The disclosure provides another optical image capturing system, in orderfrom an object side to an image side, including a first lens element,second lens element and an image plane. The first lens element haspositive refractive power, and the position near the optical axis on anobject-side surface of the first lens element may be a convex surface.The second lens element has refractive power, and an object-side surfaceand an image-side surface of the second lens element are aspheric. Anyof the first and the second lens elements has at least one inflectionpoint on at least one surface thereof. Focal lengths of the first andthe second lens elements are f1 and f2 respectively. A focal length ofthe optical image capturing system is f. An entrance pupil diameter ofthe optical image capturing system is HEP. A distance from anobject-side surface of the first lens element to the image plane is HOS.A horizontal distance in parallel with the optical axis from acoordinate point on the object-side surface of the first lens element atheight ½ HEP to the image plane is ETL. A horizontal distance inparallel with the optical axis from a coordinate point on theobject-side surface of the first lens element at height ½ HEP to acoordinate point on the image-side surface of the second lens element atheight ½ HEP is EIN. The following relations are satisfied:1.2≦f/HEP≦10.0 and 0.2≦EIN/ETL<1.

The disclosure provides another optical image capturing system, in orderfrom an object side to an image side, including a first lens element, alens element second, and an image plane. At least one of an object-sidesurface and an image-side surface of the second lens element has atleast one inflection point, wherein the optical image capturing systemof the present disclosure has two lens elements with refractive power,and any of the two lens elements respectively has at least oneinflection point on at least one surface thereof. The first lens elementhas positive refractive power. The second lens element has positiverefractive power and an object-side surface and an image-side surface ofthe second lens element are both aspheric. Focal lengths of the firstand second lens elements are f1 and f2 respectively. A focal length ofthe optical image capturing system is f. An entrance pupil diameter ofthe optical image capturing system is HEP. A half of maximum view angleof the optical image capturing system is HAF. A distance from anobject-side surface of the first lens element to the image plane is HOS.A horizontal distance in parallel with the optical axis from acoordinate point on the object-side surface of the first lens element atheight ½ HEP to the image plane is ETL. A horizontal distance inparallel with the optical axis from a coordinate point on theobject-side surface of the first lens element at height ½ HEP to acoordinate point on the image-side surface of the second lens element atheight ½ HEP is EIN. The following relations are satisfied:1.2≦f/HEP≦10; 0.4≦|tan(HAF)|≦6.0 and 0.2≦EIN/ETL<1.

A thickness of a single lens element at height of ½ entrance pupildiameter (HEP) particularly affects the corrected aberration of commonarea of each field of view of light and the capability of correctingoptical path difference between each field of view of light in the scopeof ½ entrance pupil diameter (HEP). The capability of aberrationcorrection is enhanced if the thickness becomes greater, but thedifficulty for manufacturing is also increased at the same time.Therefore, it is necessary to control the thickness of a single lenselement at height of ½ entrance pupil diameter (HEP), in particular tocontrol the ratio relation (ETP/TP) of the thickness (ETP) of the lenselement at height of ½ entrance pupil diameter (HEP) to the thickness(TP) of the lens element to which the surface belongs on the opticalaxis. For example, the thickness of the first lens element at height of½ entrance pupil diameter (HEP) is denoted by ETP1. The thickness of thesecond lens element at height of ½ entrance pupil diameter (HEP) isdenoted by ETP2. The thicknesses of other lens elements are denoted inthe similar way. A sum of ETP1 and ETP2 described above is SETP. Theembodiments of the present invention may satisfy the following relation:0.3≦SETP/EIN<1.

In order to enhance the capability of aberration correction and reducethe difficulty for manufacturing at the same time, it is particularlynecessary to control the ratio relation (ETP/TP) of the thickness (ETP)of the lens element at height of ½ entrance pupil diameter (HEP) to thethickness (TP) of the lens element on the optical axis lens. Forexample, the thickness of the first lens element at height of ½ entrancepupil diameter (HEP) is denoted by ETP1. The thickness of the first lenselement on the optical axis is TP1. The ratio between both of them isETP1/TP1. The thickness of the second lens element at height of ½entrance pupil diameter (HEP) is denoted by ETP2. The thickness of thesecond lens element on the optical axis is TP2. The ratio between bothof them is ETP2/TP2. The ratio relations of the thicknesses of otherlens element in the optical image capturing system at height of ½entrance pupil diameter (HEP) to the thicknesses (TP) of the lenselements on the optical axis lens are denoted in the similar way. Theembodiments of the present invention may satisfy the following relation:0.2≦ETP/TP≦3.

A horizontal distance between two adjacent lens elements at height of ½entrance pupil diameter (HEP) is denoted by ED. The horizontal distance(ED) described above is in parallel with the optical axis of the opticalimage capturing system and particularly affects the corrected aberrationof common area of each field of view of light and the capability ofcorrecting optical path difference between each field of view of lightat the position of ½ entrance pupil diameter (HEP). The capability ofaberration correction may be enhanced if the horizontal distance becomesgreater, but the difficulty for manufacturing is also increased and thedegree of ‘miniaturization’ to the length of the optical image capturingsystem is restricted. Thus, it is essential to control the horizontaldistance (ED) between two specific adjacent lens elements at height of ½entrance pupil diameter (HEP).

In order to enhance the capability of aberration correction and reducethe difficulty for ‘miniaturization’ to the length of the optical imagecapturing system at the same time, it is particularly necessary tocontrol the ratio relation (ED/IN) of the horizontal distance (ED)between the two adjacent lens elements at height of ½ entrance pupildiameter (HEP) to the horizontal distance (IN) between the two adjacentlens elements on the optical axis. For example, the horizontal distancebetween the first lens element and the second lens element at height of½ entrance pupil diameter (HEP) is denoted by ED12. The horizontaldistance between the first lens element and the second lens element onthe optical axis is IN12. The ratio between both of them is ED12/IN12.The ratio relations of the horizontal distances between other twoadjacent lens elements in the optical image capturing system at heightof ½ entrance pupil diameter (HEP) to the horizontal distances betweenthe two adjacent lens elements on the optical axis are denoted in thesimilar way.

A horizontal distance in parallel with the optical axis from acoordinate point on the image-side surface of the second lens element atheight ½ HEP to the image plane is EBL. A horizontal distance inparallel with the optical axis from an axial point on the image-sidesurface of the second lens element to the image plane is BL. Theembodiments of the present invention enhance the capability ofaberration correction and reserve space for accommodating other opticalelements. The following relation may be satisfied: 0.2≦EBL/BL<1.1. Theoptical image capturing system may further include a light filtrationelement. The light filtration element is located between the second lenselement and the image plane. A distance in parallel with the opticalaxis from a coordinate point on the image-side surface of the secondlens element at height ½ HEP to the light filtration element is EIR. Adistance in parallel with the optical axis from an axial point on theimage-side surface of the second lens element to the light filtrationelement is PIR. The embodiments of the present invention may satisfy thefollowing relation: 0.1≦EIR/PIR≦1.1.

The optical image capturing system described above may be configured toform the image on the image sensing device which is shorter than 1/1.2inch in diagonal length. The pixel size of the image sensing device issmaller than 1.4 micrometers (μm). preferably the pixel size thereof issmaller than 1.12 micrometers (μm). The best pixel size thereof issmaller than 0.9 micrometers (μm). Furthermore, the optical imagecapturing system is applicable to the image sensing device with aspectratio of 16:9.

The optical image capturing system described above is applicable to thedemand of video recording with above millions or ten millions-pixels andleads to a good imaging quality.

The height of optical system (HOS) may be reduced to achieve theminimization of the optical image capturing system when the absolutevalue of f1 is larger than f1 (|f1|>f2).

When the second lens element has the weak positive refractive power, thepositive refractive power of the second lens element can be shared, suchthat the unnecessary aberration will not appear too early. On thecontrary, when the second lens element has the weak negative refractivepower, the aberration of the optical image capturing system can becorrected and fine tuned.

The second lens element may have positive refractive power and a concaveimage-side surface. Hereby, the back focal length is reduced for keepingthe miniaturization, to miniaturize the lens element effectively. Inaddition, at least one of the object-side surface and the image-sidesurface of the second lens element may have at least one inflectionpoint, such that the angle of incident with incoming light from anoff-axis view field can be suppressed effectively and the aberration inthe off-axis view field can be corrected further.

BRIEF DESCRIPTION OF THE DRAWINGS

The detailed structure, operating principle and effects of the presentdisclosure will now be described in more details hereinafter withreference to the accompanying drawings that show various embodiments ofthe present disclosure as follows.

FIG. 1A is a schematic view of the optical image capturing systemaccording to the first embodiment of the present application.

FIG. 1B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the first embodimentof the present application.

FIG. 1C is a characteristic diagram of modulation transfer of a visiblelight according to the first embodiment of the present application.

FIG. 2A is a schematic view of the optical image capturing systemaccording to the second embodiment of the present application.

FIG. 2B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the secondembodiment of the present application.

FIG. 2C is a characteristic diagram of modulation transfer of a visiblelight according to the second embodiment of the present application.

FIG. 3A is a schematic view of the optical image capturing systemaccording to the third embodiment of the present application.

FIG. 3B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the third embodimentof the present application.

FIG. 3C is a characteristic diagram of modulation transfer of a visiblelight according to the third embodiment of the present application.

FIG. 4A is a schematic view of the optical image capturing systemaccording to the fourth embodiment of the present application.

FIG. 4B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the fourthembodiment of the present application.

FIG. 4C is a characteristic diagram of modulation transfer of a visiblelight according to the fourth embodiment of the present application.

FIG. 5A is a schematic view of the optical image capturing systemaccording to the fifth embodiment of the present application.

FIG. 5B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the fifth embodimentof the present application.

FIG. 5C is a characteristic diagram of modulation transfer of a visiblelight according to the fifth embodiment of the present application.

FIG. 6A is a schematic view of the optical image capturing systemaccording to the sixth embodiment of the present application.

FIG. 6B is longitudinal spherical aberration curves, astigmatic fieldcurves, and an optical distortion grid of the optical image capturingsystem in the order from left to right according to the sixth embodimentof the present application.

FIG. 6C is a characteristic diagram of modulation transfer of a visiblelight according to the sixth embodiment of the present application.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Reference will now be made in detail to the exemplary embodiments of thepresent disclosure, examples of which are illustrated in theaccompanying drawings. Therefore, it is to be understood that theforegoing is illustrative of exemplary embodiments and is not to beconstrued as limited to the specific embodiments disclosed, and thatmodifications to the disclosed exemplary embodiments, as well as otherexemplary embodiments, are intended to be included within the scope ofthe appended claims. These embodiments are provided so that thisdisclosure will be thorough and complete, and will fully convey theinventive concept to those skilled in the art. The relative proportionsand ratios of elements in the drawings may be exaggerated or diminishedin size for the sake of clarity and convenience in the drawings, andsuch arbitrary proportions are only illustrative and not limiting in anyway. The same reference numbers are used in the drawings and thedescription to refer to the same or like parts.

It will be understood that, although the terms ‘first’, ‘second’,‘third’, etc., may be used herein to describe various elements, theseelements should not be limited by these terms. The terms are used onlyfor the purpose of distinguishing one component from another component.Thus, a first element discussed below could be termed a second elementwithout departing from the teachings of embodiments. As used herein, theterm “or” includes any and all combinations of one or more of theassociated listed items.

An optical image capturing system, in order from an object side to animage side, includes a first, second, third, fourth, fifth and sixthlens elements with refractive power and an image plane. The opticalimage capturing system may further include an image sensing device whichis disposed on an image plane.

The optical image capturing system may use three sets of wavelengthswhich are 486.1 nm, 587.5 nm and 656.2 nm, respectively, wherein 587.5nm is served as the primary reference wavelength and a referencewavelength for retrieving technical features. The optical imagecapturing system may also use five sets of wavelengths which are 470 nm,510 nm, 555 nm, 610 nm and 650 nm, respectively, wherein 555 nm isserved as the primary reference wavelength and a reference wavelengthfor retrieving technical features.

A ratio of the focal length f of the optical image capturing system to afocal length fp of each of lens elements with positive refractive poweris PPR. A ratio of the focal length f of the optical image capturingsystem to a focal length fn of each of lens elements with negativerefractive power is NPR. A sum of the PPR of all lens elements withpositive refractive power is ΣPPR. A sum of the NPR of all lens elementswith negative refractive powers is ΣNPR. It is beneficial to control thetotal refractive power and the total length of the optical imagecapturing system when following conditions are satisfied:0.5≦ΣPPR/|ΣNPR|≦4.5. Preferably, the following relation may besatisfied: 1≦ΣPPR/|ΣNPR|≦3.8.

The height of the optical image capturing system is HOS. It willfacilitate the manufacturing of miniaturized optical image capturingsystem which may form images with ultra high pixels when the specificratio value of HOS/f tends to 1.

A sum of a focal length fp of each lens element with positive refractivepower is ΣPP. A sum of a focal length fn of each lens element withnegative refractive power is ΣNP. In one embodiment of the optical imagecapturing system of the present disclosure, the following relations aresatisfied: 0<ΣPP≦200 and f1/ΣPP≦0.85. Preferably, the followingrelations may be satisfied: 0<ΣPP≦150 and 0.01≦f1/ΣPP≦0.6. Hereby, it'sbeneficial to control the focus ability of the optical image capturingsystem and allocate the positive refractive power of the optical imagecapturing system appropriately, so as to suppress the significantaberration generating too early. The first lens element has positiverefractive power and a convex object-side surface. The first lenselement may have positive refractive power, and it has a convexobject-side surface. Hereby, strength of the positive refractive powerof the first lens element can be fined-tuned, so as to reduce the totallength of the optical image capturing system.

The optical image capturing system may further include an image sensingdevice which is disposed on an image plane. Half of a diagonal of aneffective detection field of the image sensing device (imaging height orthe maximum image height of the optical image capturing system) is HOI.A distance on the optical axis from the object-side surface of the firstlens element to the image plane is HOS. The following relations aresatisfied: HOS/HOI≦3 and 0.5≦HOS/f≦3.0. Preferably, the followingrelations may be satisfied: 1≦HOS/HOI≦2.5 and 1≦HOS/f≦2. Hereby, theminiaturization of the optical image capturing system can be maintainedeffectively, so as to be carried by lightweight portable electronicdevices.

In addition, in the optical image capturing system of the disclosure,according to different requirements, at least one aperture stop may bearranged for reducing stray light and improving the imaging quality.

In the optical image capturing system of the disclosure, the aperturestop may be a front or middle aperture. The front aperture is theaperture stop between a photographed object and the first lens element.The middle aperture is the aperture stop between the first lens elementand the image plane. If the aperture stop is the front aperture, alonger distance between the exit pupil and the image plane of theoptical image capturing system can be formed, such that more opticalelements can be disposed in the optical image capturing system and theefficiency of receiving images of the image sensing device can beraised. If the aperture stop is the middle aperture, the view angle ofthe optical image capturing system can be expended, such that theoptical image capturing system has the same advantage that is owned bywide angle cameras. A distance from the aperture stop to the image planeis InS. The following relation is satisfied: 0.5≦InS/HOS≦1.1.Preferably, the following relation may be satisfied: 0.6≦InS/HOS≦1.Hereby, features of maintaining the minimization for the optical imagecapturing system and having wide-angle are available simultaneously.

In the optical image capturing system of the disclosure, a distance fromthe object-side surface of the first lens element to the image-sidesurface of the second lens element is InTL. A sum of central thicknessesof all lens elements with refractive power on the optical axis is ΣTP.The following relation is satisfied: 0.45≦ΣTP/InTL≦0.95. Hereby,contrast ratio for the image formation in the optical image capturingsystem and defect-free rate for manufacturing the lens element can begiven consideration simultaneously, and a proper back focal length isprovided to dispose other optical components in the optical imagecapturing system.

A curvature radius of the object-side surface of the first lens elementis R1. A curvature radius of the image-side surface of the first lenselement is R2. The following relation is satisfied: 0.1≦|R1/R2|≦3.0.Hereby, the first lens element may have proper strength of the positiverefractive power, so as to avoid the longitudinal spherical aberrationto increase too fast. Preferably, the following relation may besatisfied: 0.1≦|R1/R2|≦2.0.

A curvature radius of the object-side surface of the second lens elementis R3. A curvature radius of the image-side surface of the second lenselement is R4. The following relation is satisfied:−200<(R3−R4)/(R3+R4)<30. Hereby, the astigmatism generated by theoptical image capturing system can be corrected beneficially.

A distance between the first lens element and the second lens element onthe optical axis is IN12. The following relation is satisfied:0<IN12/f≦0.30. Preferably, the following relation may be satisfied:0.01≦IN12/f≦0.25. Hereby, the chromatic aberration of the lens elementscan be improved, such that the performance can be increased.

Central thicknesses of the first lens element and the second lenselement on the optical axis are TP1 and TP2, respectively. The followingrelation is satisfied: 2≦(TP1+IN12)/TP2≦10. Hereby, the sensitivityproduced by the optical image capturing system can be controlled, andthe performance can be increased.

The optical image capturing system of the disclosure satisfies with thefollowing relation: 0.1≦TP1/TP2≦0.6. Hereby, the reduction of the totalheight of optical system can be given consideration simultaneously andthe ability of correcting the aberration can be improved.

A distance in parallel with an optical axis from a maximum effectivediameter position to an axial point on the object-side surface of thesecond lens element is denoted by InRS21 (instance). A distance inparallel with an optical axis from a maximum effective diameter positionto an axial point on the image-side surface of the second lens elementis denoted by InRS22 (instance). A thickness of the second lens elementon the optical axis is TP2.

In the optical image capturing system of the disclosure, a distance inparallel with an optical axis from an inflection point on theobject-side surface of the second lens element which is nearest to theoptical axis to an axial point on the object-side surface of the secondlens element is denoted by SGI211. A distance in parallel with anoptical axis from an inflection point on the image-side surface of thesecond lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the second lens element is denoted bySGI221.

A distance in parallel with the optical axis from the inflection pointon the object-side surface of the second lens element which is thesecond nearest to the optical axis to an axial point on the object-sidesurface of the fourth lens element is denoted by SGI212. A distance inparallel with an optical axis from an inflection point on the image-sidesurface of the second lens element which is the second nearest to theoptical axis to an axial point on the image-side surface of the secondlens element is denoted by SGI222.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the second lens element which isnearest to the optical axis and the optical axis is denoted by HIF211. Adistance perpendicular to the optical axis between an inflection pointon the image-side surface of the second lens element which is nearest tothe optical axis and an axial point on the image-side surface of thesecond lens element is denoted by HIF221.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the second lens element which is thesecond nearest to the optical axis and the optical axis is denoted byHIF212. A distance perpendicular to the optical axis between an axialpoint on the image-side surface of the second lens element and aninflection point on the image-side surface of the second lens elementwhich is the second nearest to the optical axis is denoted by HIF222.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the second lens element which is thethird nearest to the optical axis and the optical axis is denoted byHIF213. A distance perpendicular to the optical axis between an axialpoint on the image-side surface of the second lens element and aninflection point on the image-side surface of the second lens elementwhich is the third nearest to the optical axis is denoted by HIF223.

A distance perpendicular to the optical axis between the inflectionpoint on the object-side surface of the second lens element which is thefourth nearest to the optical axis and the optical axis is denoted byHIF214. A distance perpendicular to the optical axis between an axialpoint on the image-side surface of the second lens element and aninflection point on the image-side surface of the second lens elementwhich is the fourth nearest to the optical axis is denoted by HIF224.

In one embodiment of the optical image capturing system of the presentdisclosure, the chromatic aberration of the optical image capturingsystem can be corrected by alternatively arranging the lens elementswith large Abbe number and small Abbe number.

The above Aspheric formula is:

z=ch ²/[1+[1−(k+1)c ² h ²]^(0.5) ]+A4h ⁴ +A6h ⁶ +A8h ⁸ +A10h ¹⁰ +A12h ¹²+A14h ¹⁴ +A16h ¹⁶ +A18h ¹⁸ +A20h ²⁰+  (1),

where z is a position value of the position along the optical axis andat the height h which reference to the surface apex; k is the coniccoefficient, c is the reciprocal of curvature radius, and A4, A6, A8,A10, A12, A14, A16, A18, and A20 are high order aspheric coefficients.

The optical image capturing system provided by the disclosure, the lenselements may be made of glass or plastic material. If plastic materialis adopted to produce the lens elements, the cost of manufacturing willbe lowered effectively. If lens elements are made of glass, the heateffect can be controlled and the designed space arranged for therefractive power of the optical image capturing system can be increased.Besides, the object-side surface and the image-side surface of the firstand the second lens elements may be aspheric, so as to obtain morecontrol variables. Comparing with the usage of traditional lens elementmade by glass, the number of lens elements used can be reduced and theaberration can be eliminated. Thus, the total height of the opticalimage capturing system can be reduced effectively.

In addition, in the optical image capturing system provided by thedisclosure, if the lens element has a convex surface, the surface of thelens element adjacent to the optical axis is convex in principle. If thelens element has a concave surface, the surface of the lens elementadjacent to the optical axis is concave in principle.

Besides, in the optical image capturing system of the disclosure,according to different requirements, at least one aperture may bearranged for reducing stray light and improving the imaging quality.

In the optical image capturing system of the disclosure, the aperturestop may be a front or middle aperture. The front aperture is theaperture stop between a photographed object and the first lens element.The middle aperture is the aperture stop between the first lens elementand the image plane. If the aperture stop is the front aperture, alonger distance between the exit pupil and the image plane of theoptical image capturing system can be formed, such that more opticalelements can be disposed in the optical image capturing system and theeffect of receiving images of the image sensing device can be raised. Ifthe aperture stop is the middle aperture, the view angle of the opticalimage capturing system can be expended, such that the optical imagecapturing system has the same advantage that is owned by wide anglecameras.

The optical image capturing system of the disclosure can be adapted tothe optical image capturing system with automatic focus if required.With the features of a good aberration correction and a high quality ofimage formation, the optical image capturing system can be used invarious application fields.

The optical image capturing system of the disclosure can include adriving module according to the actual requirements. The driving modulemay be coupled with the lens elements to enable the lens elementsproducing displacement. The driving module may be the voice coil motor(VCM) which is applied to move the lens to focus, or may be the opticalimage stabilization (OIS) which is applied to reduce the distortionfrequency owing to the vibration of the lens while shooting.

At least one of the first and second lens elements of the optical imagecapturing system of the disclosure may further be designed as a lightfiltration element with a wavelength of less than 500 nm according tothe actual requirement. The light filter element may be made by coatingat least one surface of the specific lens element characterized of thefilter function, and alternatively, may be made by the lens element perse made of the material which is capable of filtering short wavelength.

According to the above embodiments, the specific embodiments withfigures are presented in detail as below.

The First Embodiment Embodiment 1

Please refer to FIG. 1A, FIG. 1B, and FIG. 1C. FIG. 1A is a schematicview of the optical image capturing system according to the firstembodiment of the present application, FIG. 1B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the first embodiment of the present application, andFIG. 1C is a characteristic diagram of modulation transfer of a visiblelight according to the first embodiment of the present application. Asshown in FIG. 1A, in order from an object side to an image side, theoptical image capturing system includes an aperture stop 100, a firstlens element 110, a second lens element 120, an IR-bandstop filter 170,an image plane 180, and an image sensing device 190.

The first lens element 110 has positive refractive power and it is madeof plastic material. The first lens element 110 has a convex object-sidesurface 112 and a concave image-side surface 114, and both of theobject-side surface 112 and the image-side surface 114 are aspheric. Thethickness of the first lens element on the optical axis is TP1. Thethickness of the first lens element at height of ½ entrance pupildiameter (HEP) is denoted by ETP1.

The second lens element 120 has positive refractive power and it is madeof plastic material. The second lens element 120 has a convexobject-side surface 122 and a concave image-side surface 124, and bothof the object-side surface 122 and the image-side surface 124 areaspheric and have an inflection point. A distance in parallel with anoptical axis from an inflection point on the object-side surface of thesecond lens element which is nearest to the optical axis to an axialpoint on the object-side surface of the second lens element is denotedby SGI211. A distance in parallel with an optical axis from aninflection point on the image-side surface of the second lens elementwhich is nearest to the optical axis to an axial point on the image-sidesurface of the second lens element is denoted by SGI221. The followingrelations are satisfied: SGI211=0.0082 mm, SGI221=0.0017 mm,|SGI211|/(|SGI211|+TP2)=0.02 and |SGI221|/(|SGI221|+TP2)=0.002. Thethickness of the second lens element on the optical axis is TP2, and thethickness of the second lens element at height of ½ entrance pupildiameter (HEP) is denoted by ETP2.

A distance perpendicular to the optical axis from the inflection pointon the object-side surface of the second lens element which is nearestto the optical axis to an axial point on the object-side surface of thesecond lens element is denoted by HIF111. A distance perpendicular tothe optical axis from the inflection point on the image-side surface ofthe second lens element which is nearest to the optical axis to an axialpoint on the image-side surface of the second lens element is denoted byHIF121. The following relations are satisfied: HIF111=0.2041 mm,HIF121=0.2073 mm, HIF111/HOI=0.2041, and HIF121/HOI=0.2073.

In the first embodiment, a horizontal distance in parallel with theoptical axis from a coordinate point on the object-side surface of thefirst lens element at height ½ HEP to the image plane is ETL. Ahorizontal distance in parallel with the optical axis from a coordinatepoint on the object-side surface of the first lens element at height ½HEP to a coordinate point on the image-side surface of the second lenselement at height ½ HEP is EIN. The following relations are satisfied:ETL=1.862 mm, EIN=1.011 mm and EIN/ETL=0.543.

The first embodiment satisfies the following relations: ETP1=0.386 mm,ETP2=0.346 mm. A sum of ETP1 and ETP2 described above SETP=0.732 mm.TP1=0.402 mm and TP2=0.357 mm. A sum of TP1 and TP2 described aboveSTP=0.758 mm. SETP/STP=0.965. SETP/EIN=0.724.

The present embodiment particularly controls the ratio relation (ETP/TP)of the thickness (ETP) of each lens element at height of ½ entrancepupil diameter (HEP) to the thickness (TP) of the lens element to whichthe surface belongs on the optical axis in order to achieve a balancebetween manufacturability and capability of aberration correction. Thefollowing relations are satisfied: ETP1/TP1=0.960 and ETP2/TP2=0.969.

The present embodiment controls a horizontal distance between each twoadjacent lens elements at height of ½ entrance pupil diameter (HEP) toachieve a balance between the degree of miniaturization for the lengthof the optical image capturing system HOS, the manufacturability and thecapability of aberration correction. The ratio relation (ED/IN) of thehorizontal distance (ED) between the two adjacent lens elements atheight of ½ entrance pupil diameter (HEP) to the horizontal distance(IN) between the two adjacent lens elements on the optical axis isparticularly controlled. The following relations are satisfied: ahorizontal distance in parallel with the optical axis between the firstlens element and the second lens element at height of ½ entrance pupildiameter (HEP) ED12=0.279 mm.

In the optical image capturing system of the first embodiment, adistance between the first lens element 110 and the second lens element120 on the optical axis is IN12. The following relations are satisfied:IN12=0.334 mm and ED12/IN12=0.837.

A horizontal distance in parallel with the optical axis from acoordinate point on the image-side surface of the second lens element atheight ½ HEP to the image plane EBL=0.851 mm. A horizontal distance inparallel with the optical axis from an axial point on the image-sidesurface of the second lens element to the image plane BL=0.8357 mm. Theembodiment of the present invention may satisfy the following relation:EBL/BL=1.0183. In the present invention, a distance in parallel with theoptical axis from a coordinate point on the image-side surface of thesecond lens element at height ½ HEP to the IR-bandstop filter EIR=0.001mm. A distance in parallel with the optical axis from an axial point onthe image-side surface of the second lens element to the IR-bandstopfilter PIR=0.004 mm. The following relation is satisfied: EIR/PIR=0.268.

The IR-bandstop filter 170 is made of glass material without affectingthe focal length of the optical image capturing system and it isdisposed between the second lens element 120 and the image plane 180.

In the optical image capturing system of the first embodiment, a focallength of the optical image capturing system is f, an entrance pupildiameter of the optical image capturing system is HEP, and half of amaximal view angle of the optical image capturing system is HAF. Thedetailed parameters are shown as below: f=1.5270 mm, f/HEP=2.52,HAF=32.4537° and tan(HAF)=0.6359.

In the optical image capturing system of the first embodiment, a focallength of the first lens element 110 is f1 and a focal length of thefirst lens element 110 is f1. The following relations are satisfied:f1=1.8861 mm; f2=4.6465 mm, |f/f1|=0.8096, |f1|<f2, and |f1/f2|=0.4059.

A ratio of the focal length f of the optical image capturing system to afocal length fp of each of lens elements with positive refractive poweris PPR. A ratio of the focal length f of the optical image capturingsystem to a focal length fn of each of lens elements with negativerefractive power is NPR. In the optical image capturing system of thefirst embodiment, a sum of the PPR of all lens elements with positiverefractive power is ΣPPR=f/f1+f/f2=1.1382. A sum of the NPR of all lenselements with negative refractive powers is NPR=f/f2=0.4650,|ΣPPR|ΣNPR|=3.0391. The following relations are also satisfied:|f/f3|=0.3439, |f1/f2|=0.4349, and |f2/f3|=0.7396.

In the optical image capturing system of the first embodiment, adistance from the object-side surface 112 of the first lens element tothe image-side surface 124 of the second lens element is InTL. Adistance from the object-side surface 112 of the first lens element tothe image plane 180 is HOS. A distance from an aperture 100 to an imageplane 180 is InS. Half of a diagonal length of an effective detectionfield of the image sensing device 190 is HOI. A distance from theimage-side surface 124 of the second lens element to the image plane 180is BFL. The following relations are satisfied: InTL+InB=HOS, HOS=1.9461mm, HOI=1.0 mm, HOS/HOI=1.9461, HOS/f=1.2745, InTL/HOS=0.5613,InS=1.8621 mm, and InS/HOS=0.9568.

In the optical image capturing system of the first embodiment, a totalcentral thickness of all lens elements with refractive power on theoptical axis is ΣTP. The following relations are satisfied: ΣTP=0.7585mm and ΣTP/InTL=0.6943. Hereby, contrast ratio for the image formationin the optical image capturing system and defect-free rate formanufacturing the lens element can be given considerationsimultaneously, and a proper back focal length is provided to disposeother optical components in the optical image capturing system.

In the optical image capturing system of the first embodiment, acurvature radius of the object-side surface 112 of the first lenselement is R1. A curvature radius of the image-side surface 114 of thefirst lens element is R2. The following relation is satisfied:|R1/R2|=0.6866. Hereby, the first lens element may have proper strengthof the positive refractive power, so as to avoid the longitudinalspherical aberration to increase too fast.

In the optical image capturing system of the first embodiment, acurvature radius of the object-side surface 122 of the second lenselement is R3. A curvature radius of the image-side surface 124 of thesecond lens element is R4. The following relation is satisfied:(R3−R4)/(R3+R4)=−0.7542. Hereby, the astigmatism generated by theoptical image capturing system can be corrected beneficially.

In the optical image capturing system of the first embodiment, focallengths of the first and the second lens elements are f1 and f2respectively. A sum of focal lengths of all lens elements with positiverefractive power is ΣPP. The following relations are satisfied:ΣPP=f1+f2=6.5326 mm and f1/(f1+f2)=0.2887. Hereby, it is favorable forallocating the positive refractive power of the first lens element 110to other positive lens elements and the significant aberrationsgenerated in the process of moving the incident light can be suppressed.

In the optical image capturing system of the first embodiment, the focallength of the second lens element 120 is f2. A sum of focal lengths ofall lens elements with negative refractive power is/NP.

In the optical image capturing system of the first embodiment, adistance between the first lens element 110 and the second lens element120 on the optical axis is IN12. The following relations are satisfied:IN12=0.3340 mm and IN12/f=0.2187. Hereby, the chromatic aberration ofthe lens elements can be improved, such that the performance can beincreased.

In the optical image capturing system of the first embodiment, centralthicknesses of the first lens element 110 and the second lens element120 on the optical axis are TP1 and TP2, respectively. The followingrelations are satisfied: TP1=0.4020 mm, TP2=0.3365 mm, and(TP1+IN12)/TP2=2.0643. Hereby, the sensitivity produced by the opticalimage capturing system can be controlled, and the performance can beincreased.

In the optical image capturing system of the first embodiment, thefollowing relations are satisfied: TP1/TP2=1.1275. Hereby, theaberration generated by the process of moving the incident light can beadjusted slightly layer upon layer, and the total height of the opticalimage capturing system can be reduced.

In the optical image capturing system of the first embodiment, a totalcentral thickness of the first lens element 110 and the second lenselement 120 on the optical axis is ΣTP. The following relations aresatisfied: TP2/ΣTP=0.4436. Hereby, the aberration generated by theprocess of moving the incident light can be adjusted slightly layer uponlayer, and the total height of the optical image capturing system can bereduced.

In the optical image capturing system of the first embodiment, adistance in parallel with an optical axis from a maximum effectivediameter position to an axial point on the object-side surface 112 ofthe first lens element is InRS11. A distance in parallel with an opticalaxis from a maximum effective diameter position to an axial point on theimage-side surface 114 of the first lens element is InRS12. A centralthickness of the first lens element 110 is TP1. The following relationsare satisfied: InRS11=0.084 mm, InRS12=0.0478 mm,|InRS11|+|InRS12|=0.1318 mm, |InRS11|/TP1=0.2091, and|InRS12|/TP1=0.1188. Hereby, it is favorable for manufacturing andforming the lens element and for maintaining the minimization for theoptical image capturing system.

In the optical image capturing system of the first embodiment, adistance perpendicular to the optical axis between a critical point C11on the object-side surface 112 of the first lens element and the opticalaxis is HVT11. A distance perpendicular to the optical axis between acritical point C22 on the image-side surface 114 of the first lenselement and the optical axis is HVT12. The following relations aresatisfied: HVT11=0 mm and HVT12=0 mm.

In the optical image capturing system of the first embodiment, adistance in parallel with an optical axis from a maximum effectivediameter position to an axial point on the object-side surface 122 ofthe second lens element is InRS21. A distance in parallel with anoptical axis from a maximum effective diameter position to an axialpoint on the image-side surface 124 of the second lens element isInRS22. A central thickness of the second lens element 120 is TP2. Thefollowing relations are satisfied: InRS21=−0.0167 mm, InRS22=−0.1294 mm,|InRS21|+|InRS22|=0.1461 mm, |InRS21|/TP2=0.468, and|InRS22|/TP2=0.3629. Hereby, it is favorable for manufacturing andforming the lens element and for maintaining the minimization for theoptical image capturing system.

In the optical image capturing system of the first embodiment, adistance perpendicular to the optical axis between a critical point C21on the object-side surface 122 of the second lens element and theoptical axis is HVT21. A distance perpendicular to the optical axisbetween a critical point C22 on the image-side surface 124 of the secondlens element and the optical axis is HVT22. The following relations aresatisfied: HVT21=0.3318 mm and HVT22=0.2980 mm and HVT21/HVT22=1.1134.Hereby, the aberration of surrounding view field can be corrected.

In the optical image capturing system of the first embodiment, thefollowing relation is satisfied: HVT22/HOI=0.2980. Hereby, theaberration of surrounding view field can be corrected.

In the optical image capturing system of the first embodiment, thefollowing relation is satisfied: HVT22/HOS=0.1531 Hereby, the aberrationof surrounding view field can be corrected.

In the optical image capturing system of the first embodiment, an Abbenumber of the first lens element is NA1. An Abbe number of the secondlens element is NA2. The following relations are satisfied:|NA1−NA2|=32.6166 and NA1/NA2=2.3934. Hereby, the chromatic aberrationof the optical image capturing system can be corrected.

In the optical image capturing system of the first embodiment, TVdistortion and optical distortion for image formation in the opticalimage capturing system are TDT and ODT, respectively. The followingrelations are satisfied: |TDT|=1.1552%, |ODT|=2.1305%.

In the optical image capturing system of the present embodiment,contrast transfer rates of modulation transfer with spatial frequenciesof 10 cycles/mm of a visible light at the optical axis on the imageplane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 andMTFE7. The following relations are satisfied: MTFE0 is about 0.96, MTFE3is about 0.95 and MTFE7 is about 0.94. The contrast transfer rates ofmodulation transfer with spatial frequencies of 20 cycles/mm of avisible light at the optical axis on the image plane, 0.3 HOI and 0.7HOI are respectively denoted by MTFQ0, MTFQ3 and MTFQ7. The followingrelations are satisfied: MTFQ0 is about 0.93, MTFQ3 is about 0.9 andMTFQ7 is about 0.9.

Please refer to the following Table 1 and Table 2.

The detailed data of the optical image capturing system of the firstembodiment is as shown in Table 1.

TABLE 1 Data of the optical image capturing system f = 1.5270 mm, f/HEP= 2.52, HAF(tan) = 32.4537 deg, tan(HAF) = 0.6359 Surface # CurvatureRadius Thickness Material Index Abbe # Focal length 0 Object Plano 600 1Ape. stop Plano 0.040 2 Lens 1 0.593622567 0.402 Plastic 1.632 23.421.886 3 0.864566511 0.151 4 Shading sheet Plano 0.183 5 Lens 22.149136259 0.357 Plastic 1.531 56.04 4.646 6 IR-bandstop filter15.33826532  0.004 BK7_SCHOTT 7 Plano 0.850 8 Image plane PlanoReference wavelength (d-line) = 555 nm, shield position: clear aperture(CA) of the fourth plano = 0.350 mmAs for the parameters of the aspheric surfaces of the first embodiment,reference is made to Table 2.

TABLE 2 Aspheric Coefficients Surface # 2 3 5 6 k = −1.260209E+00  3.752697E+00 −1.533461E+02  −3.276814E+03 A4 = 1.188727E−01 3.780380E−01 8.967125E−01  5.109782E−01 A6 = 2.594904E+01 −4.741825E+00−1.657671E+01  −6.908232E+00 A8 = −3.720166E+02   6.830764E+018.794850E+01  2.187913E+01 A10 = 1.911424E+03 −9.125034E+01−2.651957E+02  −3.274673E+01 A12 = 7.243751E+03 −2.289203E+031.980490E+02 −1.512005E+01 A14 = −7.265856E+04   1.532097E+042.486960E+02  8.852130E+01 A16 = 1.667886E+03 −3.062662E+04 1.832814E+02−7.275365E+01 A18 =  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00A20 =  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00

Table 1 is the detailed structure data to the first embodiment in FIG.1A, wherein the unit of the curvature radius, the thickness, thedistance, and the focal length is millimeters (mm). Surfaces 0-16illustrate the surfaces from the object side to the image plane in theoptical image capturing system. Table 2 is the aspheric coefficients ofthe first embodiment, wherein k is the conic coefficient in the asphericsurface formula, and A1-A20 are the first to the twentieth orderaspheric surface coefficient. Besides, the tables in the followingembodiments are referenced to the schematic view and the aberrationgraphs, respectively, and definitions of parameters in the tables areequal to those in the Table 1 and the Table 2, so the repetitiousdetails will not be given here.

The Second Embodiment Embodiment 2

Please refer to FIG. 2A, FIG. 2B, and FIG. 2C. FIG. 2A is a schematicview of the optical image capturing system according to the secondembodiment of the present application, FIG. 2B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the second embodiment of the present application, andFIG. 2C is a characteristic diagram of modulation transfer of a visiblelight according to the second embodiment of the present application. Asshown in FIG. 2A, in order from an object side to an image side, theoptical image capturing system includes an aperture stop 200, a firstlens element 210, a second lens element 220, an image plane 280, and animage sensing device 290. The object-side surface of the presentembodiment, which is applied to the display designed with Full-HD orWQHD resolution such as HD 1080p display, is served as the purpose ofthe virtual reality. The imaging system of the present embodiment isdesigned with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 210 has positive refractive power and it is madeof plastic material. The first lens element 210 has a convex object-sidesurface 212 and a convex image-side surface 214, and both of theobject-side surface 212 and the image-side surface 214 are aspheric. Theimage-side surface 214 has an inflection point.

The second lens element 220 has positive refractive power and it is madeof plastic material. The second lens element 220 has a convexobject-side surface 222 and a concave image-side surface 224, and bothof the object-side surface 222 and the image-side surface 224 areaspheric and have an inflection point.

In the optical image capturing system of the present embodiment,contrast transfer rates of modulation transfer with spatial frequenciesof 10 cycles/mm of a visible light at the optical axis on the imageplane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 andMTFE7. The following relations are satisfied: MTFE0 is about 0.85, MTFE3is about 0.27 and MTFE7 is about 0.25.

Please refer to the following Table 3 and Table 4.

The detailed data of the optical image capturing system of the secondembodiment is as shown in Table 3.

TABLE 3 Data of the optical image capturing system f = 29.0140 mm; f/HEP= 6.9081; HAF(tan) = 50 deg Surface # Curvature Radius ThicknessMaterial Index Abbe # Focal length 0 Object Plano 600 1 Shading sheetPlano 0.500 2 Ape. stop Plano 9.500 3 Lens 1 1221.130564 9.924 Plastic1.491 57.21 43.2287 4 −21.61239783 0.104 5 Lens 2 11.6803482 5.974Plastic 1.585 29.90 149.8060 6 10.91266851 21.000 7 Plano 0.000BK7_SCHOTT 1.517 64.13 8 Plano 0.000 9 Image plane Plano 0.000 Referencewavelength (d-line) = 555 nm; shield position: The clear aperture of thefirst surface is 2.10 mm. The clear aperture of the fourth surface is14.0 mm.As for the parameters of the aspheric surfaces of the second embodiment,reference is made to Table 4.

TABLE 4 Aspheric Coefficients Surface # 3 4 5 6 k = 9.000000E+029.943093E−03 −2.424460E+00  −1.647759E+00  A4 = 8.336907E−05−1.710684E−04  −6.633458E−05  1.822323E−04 A6 = −5.505972E−06 1.259224E−06 3.012070E−06 −3.346886E−06  A8 = 1.867790E−07 2.273300E−09−7.755593E−08  2.775645E−08 A10 = −3.010150E−09  −5.493100E−10 1.063630E−09 −1.411600E−10  A12 = 2.711000E−11 1.354000E−11−8.770000E−12  4.600000E−13 A14 = −1.400000E−13  −1.500000E−13 4.000000E−14 0.000000E+00 A16 = 0.000000E+00 0.000000E+00 0.000000E+000.000000E+00 A18 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00A20 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

In the second embodiment, the presentation of the aspheric surfaceformula is similar to that in the first embodiment. Besides, thedefinitions of parameters in following tables are equal to those in thefirst embodiment, so the repetitious details will not be given here.

The following contents may be deduced from Table 3 and Table 4.

Second embodiment (Primary reference wavelength = 555 nm) ETP1 ETP2ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 9.816 5.993 0.989 1.003 0.395 3.792 ETLEBL EIN EIR PIR EIN/ETL 37.000 20.796 16.204 20.796 21.000 0.438 BLEBL/BL SETP STP SETP/STP 21 0.9903 15.809 15.899 0.994 InRS11 InRS12InRS21 InRS22 InRSO InRSI 1.1894 −5.9153 4.6559 9.4333 5.8453 15.3485|InRS11|/ |InRS12|/ |InRS21|/ |InRS22|/ Σ |InRS| TP1 TP1 TP2 TP2 TP1/TP221.1938 0.1198 0.5960 0.7793 1.5790 1.6611 |f/f1| |f/f2| |f1/f2| IN12/fHOS/f HOI 0.6712 0.1937 0.2886 0.0036 1.2753 30.0000 HVT11 HVT12 HVT21HVT22 HVT22/HOI HVT22/HOS 0.0000 0.0000 15.0245 0.0000 0.0000 0.0000 HOSInTL HOS/HOI InS/HOS ODT % TDT % 37.0028 16.0028 1.2334 1.2567 −9.57418.0091

The following contents may be deduced from Table 3 and Table 4.

Related inflection point values of second embodiment (Primary referencewavelength: 555 nm) HIF121 12.8088 HIF121/HOI 0.4270 SGI121 −5.1208 |SGI121 |/(| SGI121 | + TP1) 0.3404 HIF211 9.6803 HIF211/HOI 0.3227SGI211 3.1410 | SGI211 |/(| SGI211 | + TP2) 0.2404 HIF221 10.3659HIF221/HOI 0.3455 SGI221 4.5571 | SGI221 |/(| SGI221 | + TP2) 0.3147

The Third Embodiment Embodiment 3

Please refer to FIG. 3A, FIG. 3B, and FIG. 3C. FIG. 3A is a schematicview of the optical image capturing system according to the thirdembodiment of the present application, FIG. 3B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the third embodiment of the present application, andFIG. 3C is a characteristic diagram of modulation transfer of a visiblelight according to the third embodiment of the present application. Asshown in FIG. 3A, in order from an object side to an image side, theoptical image capturing system includes an aperture stop 300, a firstlens element 310, a second lens element 320, an image plane 380, and animage sensing device 390. The object-side surface of the presentembodiment, which is applied to the display designed with Full-HD orWQHD resolution such as HD 1080p display, is served as the purpose ofthe virtual reality. The imaging system of the present embodiment isdesigned with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 310 has positive refractive power and it is madeof plastic material. The first lens element 310 has a convex object-sidesurface 312 and a convex image-side surface 314, and both of theobject-side surface 312 and the image-side surface 314 are aspheric. Theobject-side surface 312 has an inflection point and the image-sidesurface 314 has two inflection points.

The second lens element 320 has positive refractive power and it is madeof plastic material. The second lens element 320 has a convexobject-side surface 322 and a concave image-side surface 324, and bothof the object-side surface 322 and the image-side surface 324 areaspheric and have an inflection point.

In the optical image capturing system of the present embodiment,contrast transfer rates of modulation transfer with spatial frequenciesof 10 cycles/mm of a visible light at the optical axis on the imageplane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 andMTFE7. The following relations are satisfied: MTFE0 is about 0.28, MTFE3is about 0.03 and MTFE7 is about 0.02.

Please refer to the following Table 5 and Table 6.

The detailed data of the optical image capturing system of the thirdembodiment is as shown in Table 5.

TABLE 5 Data of the optical image capturing system f = 25.6515 mm; f/HEP= 2.7021; HAF(tan) = 49.950 deg Surface# Curvature Radius ThicknessMaterial Index Abbe # Focal length 0 Object Plano 250 1 Shading sheetPlano 0.500 2 Ape. Stop Plano 9.503 3 Lens 1 657.3110644 10.924 Plastic1.491 57.21 47.3441 4 −24.044851 0.300 5 Lens 2 13.0574377 6.406 Plastic1.585 29.90 67.1288 6 15.95830706 21.968 7 Plano 0.800 BK7_SCHOTT 1.51764.13 8 Plano 0.000 9 Image plane Plano 0.000 Reference wavelength(d-line) = 555 nm; shield position: The clear aperture of the firstsurface is 5.0 mm. The clear aperture of the fourth surface is 15.50 mm.As for the parameters of the aspheric surfaces of the third embodiment,reference is made to Table 6.

TABLE 6 Aspheric Coefficients Surface # 3 4 5 6 k = 9.000000E+023.881472E−02 −2.137457E+00  −9.382222E−01  A4 = 7.805767E−058.948627E−05 1.423457E−04 4.019200E−04 A6 = −5.479692E−06 −8.460420E−06  −3.438835E−06  −8.008123E−06  A8 = 1.871386E−071.762869E−07 3.221229E−08 7.784628E−08 A10 = −3.010170E−09 −2.180880E−09  −1.273300E−10  −4.417100E−10  A12 = 2.711000E−111.949000E−11 0.000000E+00 1.540000E−12 A14 = −1.500000E−13 −1.200000E−13  0.000000E+00 0.000000E+00 A16 = 0.000000E+00 0.000000E+000.000000E+00 0.000000E+00 A18 = 0.000000E+00 0.000000E+00 0.000000E+000.000000E+00 A20 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

The presentation of the aspheric surface formula in the third embodimentis similar to that in the first embodiment. Besides, the definitions ofparameters in following tables are equal to those in the firstembodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 5 and Table 6.

Third embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 10.342 6.376 0.947 0.995 1.817 6.058ETL EBL EIN EIR PIR EIN/ETL 40.366 21.831 18.536 21.031 21.968 0.459 BLEBL/BL SETP STP SETP/STP 22.7676 0.9589 16.718 17.331 0.965 InRS11InRS12 InRS21 InRS22 InRSO InRSI 1.1615 −6.5629 7.8489 10.8012 9.010317.3641 |InRS11|/ |InRS12|/ |InRS21|/ |InRS22|/ Σ |InRS| TP1 TP1 TP2 TP2TP1/TP2 26.3744 0.1063 0.6008 1.2252 1.6860 1.7052 |f/f1| |f/f2| |f1/f2|IN12/f HOS/f HOI 0.5418 0.3821 0.7053 0.0117 1.5749 28.9800 HVT11 HVT12HVT21 HVT22 HVT22/HOI HVT22/HOS 0.0000 0.0000 18.1122 22.0342 0.76030.5454 HOS InTL HOS/HOI InS/HOS ODT % TDT % 40.3982 17.6306 1.39401.2352 −11.7974 12.0765

The following contents may be deduced from Table 5 and Table 6.

Related inflection point values of third embodiment (Primary referencewavelength: 555 nm) HIF111 12.2789 HIF111/HOI 0.4237 SGI111 0.8668 |SGI111 |/(| SGI111 | + TP1) 0.0735 HIF121 9.7443 HIF121/HOI 0.3362SGI121 −2.6222 | SGI121 |/(| SGI121 | + TP1) 0.1936 HIF122 10.8049HIF122/HOI 0.3728 SGI122 −3.2072 | SGI122 |/(| SGI122 | + TP1) 0.2270HIF211 13.9313 HIF211/HOI 0.4807 SGI211 6.0323 | SGI211 |/(| SGI211 | +TP2) 0.3558 HIF221 13.6413 HIF221/HOI 0.4707 SGI221 6.6306 | SGI221 |/(|SGI221 | + TP2) 0.3777

The Fourth Embodiment Embodiment 4

Please refer to FIG. 4A, FIG. 4B, and FIG. 4C. FIG. 4A is a schematicview of the optical image capturing system according to the fourthembodiment of the present application, FIG. 4B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the fourth embodiment of the present application, andFIG. 4C is a characteristic diagram of modulation transfer of a visiblelight according to the fourth embodiment of the present application. Asshown in FIG. 4A, in order from an object side to an image side, theoptical image capturing system includes an aperture stop 400, a firstlens element 410, a second lens element 420, an image plane 480, and animage sensing device 490. The object-side surface of the presentembodiment, which is applied to the display designed with Full-HD orWQHD resolution such as HD 1080p display, is served as the purpose ofthe virtual reality. The imaging system of the present embodiment isdesigned with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 410 has positive refractive power and it is madeof plastic material. The first lens element 410 has a convex object-sidesurface 412 and a convex image-side surface 414, and both of theobject-side surface 412 and the image-side surface 414 are aspheric. Theimage-side surface 414 has three inflection points.

The second lens element 420 has positive refractive power and it is madeof plastic material. The second lens element 420 has a convexobject-side surface 422 and a concave image-side surface 424, and bothof the object-side surface 422 and the image-side surface 424 areaspheric and have an inflection point.

In the optical image capturing system of the present embodiment,contrast transfer rates of modulation transfer with spatial frequenciesof 10 cycles/mm of a visible light at the optical axis on the imageplane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 andMTFE7. The following relations are satisfied: MTFE0 is about 0.74, MTFE3is about 0.15 and MTFE7 is about 0.05.

Please refer to the following Table 7 and Table 8.

The detailed data of the optical image capturing system of the fourthembodiment is as shown in Table 7.

TABLE 7 Data of the optical image capturing system f = 32.8882 mm; f/HEP= 8.0215; HAF(tan) = 45.0111 deg Surface# Curvature Radius ThicknessMaterial Index Abbe # Focal length 0 Object Plano At infinity 1 Ape.Stop Plano 10.050 2 Lens 1 457.5384828 9.331 Plastic 1.491 57.21 53.31383 −27.67159296 0.315 4 Lens 2 9.966874496 5.351 Plastic 1.585 29.90129.929 5 9.181169376 23.801 6 Plano 0.000 BK7_SCHOTT 1.517 64.13 7Plano 0.000 8 Image plane Plano Reference wavelength (d-line) = 555 nm;shield position: The clear aperture of the third surface is 14.438 mm.As for the parameters of the aspheric surfaces of the fourth embodiment,reference is made to Table 8.

TABLE 8 Aspheric Coefficients Surface # 2 3 4 5 k = 9.000000E+02−9.473691E−01  −1.936474E+00  −1.722886E+00  A4 = 7.935230E−054.698844E−05 1.774855E−04 3.009292E−04 A6 = −4.291540E−06 −4.392534E−06  −4.457656E−06  −7.870102E−06  A8 = 1.327677E−079.066300E−09 1.857921E−08 8.923823E−08 A10 = −1.940420E−09  1.027320E−093.365500E−10 −5.690500E−10  A12 = 1.585000E−11 −1.419000E−11 −4.950000E−12  2.200000E−12 A14 = −8.000000E−14  9.000000E−143.000000E−14 −1.000000E−14  A16 = 0.000000E+00 0.000000E+00 0.000000E+000.000000E+00 A18 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00A20 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

The presentation of the aspheric surface formula in the fourthembodiment is similar to that in the first embodiment. Besides thedefinitions of parameters in following tables are equal to those in thefirst embodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 7 and Table 8.

Fourth embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 9.250 5.371 0.991 1.004 0.602 1.911 ETLEBL EIN EIR PIR EIN/ETL 38.792 23.569 15.223 23.569 23.801 0.392 BLEBL/BL SETP STP SETP/STP 23.8005 0.9903 14.621 14.682 0.996 InRS11InRS12 InRS21 InRS22 InRSO InRSI 1.7896 −4.4034 6.7315 10.7995 8.521115.2029 |InRS11|/ |InRS12|/ |InRS21|/ |InRS22|/ Σ |InRS| TP1 TP1 TP2 TP2TP1/TP2 23.7239 0.1918 0.4719 1.2580 2.0183 1.7439 |f/f1| |f/f2| |f1/f2|IN12/f HOS/f HOI 0.6169 0.2531 0.4103 0.0096 1.1797 30.6000 HVT11 HVT12HVT21 HVT22 HVT22/HOI HVT22/HOS 0.0000 0.0000 16.0895 0.0000 0.00000.0000 HOS InTL HOS/HOI InS/HOS ODT % TDT % 38.7975 14.9970 1.26791.2590 −6.6595 2.5701

The following contents may be deduced from Table 7 and Table 8.

Related inflection point values of second embodiment (Primary referencewavelength: 555 nm) HIF121 8.9027 HIF121/HOI 0.2909 SGI121 −1.9636 |SGI121 |/(| SGI121 | + TP1) 0.1738 HIF122 10.8875 HIF122/HOI 0.3558SGI122 −2.8967 | SGI122 |/(| SGI122 | + TP1) 0.2369 HIF123 12.6370HIF123/HOI 0.4130 SGI123 −3.7238 | SGI123 |/(| SGI123 | + TP1) 0.2852HIF211 12.3836 HIF211/HOI 0.4047 SGI211 5.3802 | SGI211 |/(| SGI211 | +TP2) 0.3657 HIF221 12.3406 HIF221/HOI 0.4033 SGI221 6.5366 | SGI221 |/(|SGI221 | + TP2) 0.4119

The Fifth Embodiment Embodiment 5

Please refer to FIG. 5A, FIG. 5B, and FIG. 5C. FIG. 5A is a schematicview of the optical image capturing system according to the fifthsembodiment of the present application, FIG. 5B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the fifth embodiment of the present application, andFIG. 5C is a characteristic diagram of modulation transfer of a visiblelight according to the fifth embodiment of the present application. Asshown in FIG. 5A, in order from an object side to an image side, theoptical image capturing system includes an aperture stop 500, a firstlens element 510, a second lens element 520, an image plane 580, and anImage sensing device 590. The object-side surface of the presentembodiment, which is applied to the display designed with Full-HD orWQHD resolution such as HD 1080p display, is served as the purpose ofthe virtual reality. The imaging system of the present embodiment isdesigned with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 510 has positive refractive power and it is madeof plastic material. The first lens element 510 has a convex object-sidesurface 512 and a convex image-side surface 514, and both of theobject-side surface 512 and the image-side surface 514 are aspheric. Theimage-side surface 514 has three inflection points.

The second lens element 520 has positive refractive power and it is madeof plastic material. The second lens element 520 has a convexobject-side surface 522 and a concave image-side surface 524, and bothof the object-side surface 522 and the image-side surface 524 areaspheric and have an inflection point.

In the optical image capturing system of the present embodiment,contrast transfer rates of modulation transfer with spatial frequenciesof 10 cycles/mm of a visible light at the optical axis on the imageplane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 andMTFE7. The following relations are satisfied: MTFE0 is about 0.77, MTFE3is about 0.28 and MTFE7 is about 0.13.

Please refer to the following Table 9 and Table 10.

The detailed data of the optical image capturing system of the fifthembodiment is as shown in Table 9.

TABLE 9 Data of the optical image capturing system f = 28.74091 mm;f/HEP = 7.1852; HAF(tan) = 49.9865 deg Surface# Curvature RadiusThickness Material Index Abbe # Focal length 0 Object Plano At infinity1 Ape. Stop Plano 8.627 2 Lens 1 414.8192733 9.831 Plastic 1.491 57.2145.3591 3 −23.42912844 0.184 4 Lens 2 9.706200278 4.407 Plastic 1.58529.90 110.341 5 9.492285042 21.952 6 Plano 0.000 BK7_SCHOTT 1.517 64.137 Plano 0.000 8 Image plane Plano 8.627 Reference wavelength (d-line) =555 nm; shield position: The clear aperture of the second surface is13.40 mm.As for the parameters of the aspheric surfaces of the fifth embodiment,reference is made to Table 10.

TABLE 10 Aspheric Coefficients Surface # 2 3 4 5 k = 9.000000E+02−1.589647E+00 −2.104855E+00  −1.452936E+00  A4 = 9.565924E−05−9.479683E−05 −5.710812E−05  2.751574E−05 A6 = −5.482868E−06 −6.562360E−06 5.008519E−07 −2.634984E−07  A8 = 1.868123E−07 2.320071E−07 3.227850E−09 1.099000E−11 A10 = −3.010060E−09 −4.029440E−09 −8.814000E−11  1.700000E−12 A12 = 2.711000E−11 4.393000E−11 6.700000E−13 0.000000E+00 A14 = −1.400000E−13 −3.000000E−13 0.000000E+00 0.000000E+00 A16 = 0.000000E+00  0.000000E+000.000000E+00 0.000000E+00 A18 = A20 =

The presentation of the aspheric surface formula in the fifth embodimentis similar to that in the first embodiment. Besides the definitions ofparameters in following tables are equal to those in the firstembodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 9 and Table 10.

Fifth embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 9.737 4.414 0.991 1.002 0.473 2.580 ETLEBL EIN EIR PIR EIN/ETL 36.367 21.742 14.625 21.742 21.952 0.402 BLEBL/BL SETP STP SETP/STP 21.9520 0.9904 14.152 14.238 0.994 InRS11InRS12 InRS21 InRS22 InRSO InRSI 2.0261 −4.5526 6.1013 9.8378 8.127414.3904 |InRS11|/ |InRS12|/ |InRS21|/ |InRS22|/ Σ |InRS| TP1 TP1 TP2 TP2TP1/TP2 22.5178 0.2061 0.4631 1.3845 2.2324 2.2308 |f/f1| |f/f2| |f1/f2|IN12/f HOS/f HOI 0.6336 0.2605 0.4111 0.0064 1.2656 30.6000 HVT11 HVT12HVT21 HVT22 HVT22/HOI HVT22/HOS 0.0000 13.6491 15.5498 19.8996 0.65030.5471 HOS InTL HOS/HOI InS/HOS ODT % TDT % 36.3731 14.4211 1.18871.2372 −10.7970 8.7110

The following contents may be deduced from Table 9 and Table 10.

Related inflection point values of fifth embodiment (Primary referencewavelength: 555 nm) HIF121 8.9488 HIF121/HOI 0.2924 SGI121 −2.3949 |SGI121 |/(| SGI121 | + TP1) 0.1959 HIF122 11.2071 HIF122/HOI 0.3662SGI122 −3.5646 | SGI122 |/(| SGI122 | + TP1) 0.2661 HIF123 12.0279HIF123/HOI 0.3931 SGI123 −3.9714 | SGI123 |/(| SGI123 | + TP1) 0.2877HIF211 10.9565 HIF211/HOI 0.3581 SGI211 4.6289 | SGI211 |/(| SGI211 | +TP2) 0.3201 HIF221 10.9510 HIF221/HOI 0.3579 SGI221 5.5510 | SGI221 |/(|SGI221 | + TP2) 0.3609

The Sixth Embodiment Embodiment 6

Please refer to FIG. 6A, FIG. 6B, and FIG. 6C. FIG. 6A is a schematicview of the optical image capturing system according to the sixthEmbodiment of the present application, FIG. 6B is longitudinal sphericalaberration curves, astigmatic field curves, and an optical distortioncurve of the optical image capturing system in the order from left toright according to the sixth Embodiment of the present application, andFIG. 6C is a characteristic diagram of modulation transfer of a visiblelight according to the sixth embodiment of the present application. Asshown in FIG. 6A, in order from an object side to an image side, theoptical image capturing system includes an aperture stop 600, a firstlens element 610, a second lens element 620, an image plane 680, and animage sensing device 690. The object-side surface of the presentembodiment, which is applied to the display designed with Full-HD orWQHD resolution such as HD 1080p display, is served as the purpose ofthe virtual reality. The imaging system of the present embodiment isdesigned with the resolution of 10.6 pixel/degree or 5.6 arcmin/pixel.

The first lens element 610 has positive refractive power and it is madeof plastic material. The first lens element 610 has a convex object-sidesurface 612 and a convex image-side surface 614, and both of theobject-side surface 612 and the image-side surface 614 are aspheric. Theimage-side surface 614 has two inflection points. Wherein the image-sidesurface 614 is a Fresnel lens consisted of 30 Discrete Zones.

The second lens element 620 has positive refractive power and it is madeof plastic material. The second lens element 620 has a convexobject-side surface 622 and a concave image-side surface 624, and bothof the object-side surface 622 and the image-side surface 624 areaspheric and have an inflection point.

In the optical image capturing system of the present embodiment,contrast transfer rates of modulation transfer with spatial frequenciesof 10 cycles/mm of a visible light at the optical axis on the imageplane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 andMTFE7. The following relations are satisfied: MTFE0 is about 0.84, MTFE3is about 0.03 and MTFE7 is about 0.13.

Please refer to the following Table 11 and Table 12.

The detailed data of the optical image capturing system of the sixthEmbodiment is as shown in Table 11.

TABLE 11 Data of the optical image capturing system f = 32.3062 mm;f/HEP = 7.6920; HAF = 49.96 deg Surface# Curvature Radius ThicknessMaterial Index Abbe # Focal length 0 Object Plano At infinity 1 Shadingsheet Plano 0.500 2 Ape. Stop Plano 9.470 3 Lens 1 423.4078639 9.347Plastic 1.491 57.21 42.5093 4 −21.86708632 0.409 5 Lens 2 15.76485886.703 Plastic 1.585 29.90 285.482 6 14.65671267 23.369 7 Plano 0.000 8Image plane Plano 0.000 Reference wavelength (d-line) = 555 nm; shieldposition: The clear aperture of the first surface is 2.10 mm. The clearaperture of the third surface is 12.740 mm. The clear aperture of thefourth surface is 14.540 mm.As for the parameters of the aspheric surfaces of the sixth Embodiment,reference is made to Table 12.

TABLE 12 Aspheric Coefficients Surface # 3 4 5 6 k = 9.000000E+02−7.106888E−02  −2.291902E+00  −1.656089E+00  A4 = 8.040855E−05−1.596282E−04  −1.049952E−04  7.257268E−05 A6 = −5.500679E−06 1.279398E−06 2.107174E−06 −1.343912E−06  A8 = 1.868574E−07 2.331230E−09−5.390666E−08  1.536536E−08 A10 = −3.009760E−09  −5.494800E−10 9.339600E−10 −1.244000E−10  A12 = 2.711000E−11 1.354000E−11−9.390000E−12  6.300000E−13 A14 = −1.400000E−13  −1.500000E−13 6.000000E−14 0.000000E+00 A16 = 0.000000E+00 0.000000E+00 0.000000E+000.000000E+00 A18 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00A20 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00

In the sixth Embodiment, the presentation of the aspheric surfaceformula is similar to that in the first embodiment. Besides, thedefinitions of parameters in following tables are equal to those in thefirst embodiment, so the repetitious details will not be given here.

The following contents may be deduced from Table 11 and Table 12.

Sixth embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2ETP1/TP1 ETP2/TP2 ED12 ED12/IN12 9.237 6.717 0.988 1.002 0.650 1.590 ETLEBL EIN EIR PIR EIN/ETL 39.822 23.218 16.604 23.218 23.369 0.417 BLEBL/BL SETP STP SETP/STP 23.3690 0.9935 15.954 16.050 0.994 InRS11InRS12 InRS21 InRS22 InRSO InRSI 0.8445 −4.8195 3.8953 6.6968 4.739811.5163 |InRS11|/ |InRS12|/ |InRS21|/ |InRS22|/ Σ |InRS| TP1 TP1 TP2 TP2TP1/TP2 16.2561 0.0903 0.5156 0.5811 0.9991 1.3945 |f/f1| |f/f2| |f1/f2|IN12/f HOS/f HOI 0.7600 0.1132 0.1489 0.0127 1.2328 30.6000 HVT11 HVT12HVT21 HVT22 HVT22/HOI HVT22/HOS 0.0000 0.0000 14.5520 0.0000 0.00000.0000 HOS InTL HOS/HOI InS/HOS ODT % TDT % 39.8281 16.4591 1.30161.2378 −6.8473 5.7012

The following contents may be deduced from Table 11 and Table 12.

Related inflection point values of sixth embodiment (Primary referencewavelength: 555 nm) HIF121 9.1907 HIF121/HOI 0.3003 SGI121 −2.5494 |SGI121 |/(| SGI121 | + TP1) 0.2143 HIF122 10.3252 HIF122/HOI 0.3374SGI122 −3.1710 | SGI122 |/(| SGI122 | + TP1) 0.2533 HIF211 10.8872HIF211/HOI 0.3558 SGI211 2.7901 | SGI211 |/(| SGI211 | + TP2) 0.2299HIF221 11.0916 HIF221/HOI 0.3625 SGI221 3.9875 | SGI221 |/(| SGI221 | +TP2) 0.2990

The above-mentioned descriptions represent merely the exemplaryembodiment of the present disclosure, without any intention to limit thescope of the present disclosure thereto. Various equivalent changes,alternations or modifications based on the claims of present disclosureare all consequently viewed as being embraced by the scope of thepresent disclosure.

What is claimed is:
 1. An optical image capturing system, from an objectside to an image side, comprising: a first lens element with refractivepower; a second lens element with refractive power; and an image plane;wherein the optical image capturing system consists of two lens elementswith refractive power, at least one of the first and second lenselements has at least one inflection point on at least one surfacethereof, at least one of the first and second lens elements has positiverefractive power, focal lengths of the first and second lens elementsare f1 and f2 respectively, a focal length of the optical imagecapturing system is f, an entrance pupil diameter of the optical imagecapturing system is HEP, a distance on an optical axis from an axialpoint on an object-side surface of the first lens element to an axialpoint on the image plane is HOS, thicknesses in parallel with an opticalaxis of the first and second lens elements at height ½ HEP respectivelyare ETP1 and ETP2, a sum of ETP1 and ETP2 described above is SETP,thicknesses of the first and second lens elements on the optical axisrespectively are TP1 and TP2, a sum of TP1 and TP2 described above isSTP, and the following relations are satisfied: 1.2≦f/HEP≦10.0,0.5≦HOS/f≦3 and 0.5≦SETP/STP<1.
 2. The optical image capturing system ofclaim 1, wherein a horizontal distance in parallel with the optical axisfrom a coordinate point on the object-side surface of the first lenselement at height ½ HEP to the image plane is ETL, a horizontal distancein parallel with the optical axis from a coordinate point on theobject-side surface of the first lens element at height ½ HEP to acoordinate point on the image-side surface of the second lens element atheight ½ HEP is EIN, and the following relation is satisfied:0.2≦EIN/ETL<1.
 3. The optical image capturing system of claim 1, whereina thickness in parallel with the optical axis of the first lens elementat height ½ HEP is ETP1, a thickness in parallel with the optical axisof the second lens element at height ½ HEP is ETP2, the sum of ETP1 andETP2 described above is SETP, and the following relation is satisfied:0.3≦SETP/EIN≦0.85.
 4. The optical image capturing system of claim 1,wherein the optical image capturing system comprises a light filtrationelement, the light filtration element is located between the second lenselement and the image plane, a distance in parallel with the opticalaxis from a coordinate point on the image-side surface of the secondlens element at height ½ HEP to the light filtration element is EIR, adistance in parallel with the optical axis from an axial point on theimage-side surface of the second lens element to the light filtrationelement is PIR, and the following relation is satisfied:0.5≦EIR/PIR≦0.8.
 5. The optical image capturing system of claim 1,wherein any of the object-side and image-side surfaces of the secondlens element has at least one inflection point.
 6. The optical imagecapturing system of claim 1, wherein a maximum height for imageformation on the image plane perpendicular to the optical axis in theoptical image capturing system is denoted by HOI, contrast transferrates of modulation transfer with space frequencies of 10 cycles/mm (MTFvalues) at the optical axis on the image plane, 0.3 HOI and 0.7 HOI arerespectively denoted by MTFE0, MTFE3 and MTFE7, and the followingrelations are satisfied: MTFE0≧0.01, MTFE3≧0.01, and MTFE7≧0.01.
 7. Theoptical image capturing system of claim 1, wherein a half of maximumview angle of the optical image capturing system is HAF, and thefollowing relation is satisfied: 0.4≦|tan(HAF)|≦3.0.
 8. The opticalimage capturing system of claim 1, wherein a horizontal distance inparallel with the optical axis from a coordinate point on the image-sidesurface of the second lens element at height ½ HEP to the image plane isEBL, a horizontal distance in parallel with the optical axis from anaxial point on the image-side surface of the second lens element to theimage plane is BL, and the following relation is satisfied:0.8≦EBL/BL≦1.5.
 9. The optical image capturing system of claim 1,further comprising an aperture stop, a distance from the aperture stopto the image plane on the optical axis is InS, half of a diagonal of aneffective detection field of the image sensing device is HOI, an imagesensing device is disposed on the image plane, and the followingrelations are satisfied: 0.5≦InS/HOS≦1.5 and 0≦HIF/HOI≦0.9.
 10. Anoptical image capturing system, from an object side to an image side,comprising: a first lens element with positive refractive power; asecond lens element with refractive power; and an image plane; whereinthe optical image capturing system consists of two lens elements withrefractive power, the first and second lens elements respectively has atleast one inflection point on at least one surface thereof, anobject-side surface and an image-side surface of the second lens elementare both aspheric, focal lengths of the first and second lens elementsare f1 and f2 respectively, a focal length of the optical imagecapturing system is f, an entrance pupil diameter of the optical imagecapturing system is HEP, a distance on an optical axis from an axialpoint on an object-side surface of the first lens element to an axialpoint on the image plane is HOS, a horizontal distance in parallel withthe optical axis from a coordinate point on the object-side surface ofthe first lens element at height ½ HEP to the image plane is ETL, ahorizontal distance in parallel with the optical axis from a coordinatepoint on the object-side surface of the first lens element at height ½HEP to a coordinate point on the image-side surface of the second lenselement at height ½ HEP is EIN, and the following relations aresatisfied: 1.2≦f/HEP≦10.0, 0.5≦HOS/f≦3.0, and 0.2≦EIN/ETL<1.
 11. Theoptical image capturing system of claim 10, wherein a thickness of thefirst lens element on the optical axis is TP1, a thickness of the secondlens element on the optical axis is TP2, and the following relation issatisfied: 0.5≦TP1/TP2≦3.
 12. The optical image capturing system ofclaim 10, wherein a horizontal distance in parallel with the opticalaxis from a coordinate point on the image-side surface of the secondlens element at height ½ HEP to a coordinate point on the object-sidesurface of the second lens element at height ½ HEP is ED12, a distancefrom the first lens element to the second lens element on the opticalaxis is IN12, and the following relation is satisfied: 0.2≦ED12/IN12≦10.13. The optical image capturing system of claim 10, wherein a thicknessin parallel with the optical axis of the first lens element at height ½HEP is ETP1, a thickness of the first lens element on the optical axisis TP1, and the following relation is satisfied: 0.5≦ETP1/TP1<1.1. 14.The optical image capturing system of claim 10, wherein a thickness inparallel with the optical axis of the second lens element at height ½HEP is ETP2, a thickness of the second lens element on the optical axisis TP2, and the following relation is satisfied: 0.5≦ETP2/TP2<1.1. 15.The optical image capturing system of claim 10, wherein at least one ofthe object-side and image-side surfaces of the least one of the two lenselements is a Fresnel surface.
 16. The optical image capturing system ofclaim 10, wherein a distance from the first lens element to the secondlens element on the optical axis is IN12, and the following relation issatisfied: 0<IN12/f≦0.3.
 17. The optical image capturing system of claim10, wherein the optical image capturing system is satisfied: 0 mm<HOS≦50mm.
 18. The optical image capturing system of claim 10, wherein at leastone of the first and second lens elements is a light filtration elementwith a wavelength of less than 500 nm.
 19. The optical image capturingsystem of claim 10, wherein the optical image capturing system issatisfied: 0.001≦|f/f1|≦1.5 and 0.01≦|f/f2|≦1.5
 20. An optical imagecapturing system, from an object side to an image side, comprising: afirst lens element with positive refractive power; a second lens elementwith positive refractive power; and an image plane; wherein the opticalimage capturing system consists of two lens elements with refractivepower, at least one of the object-side and image-side surfaces of theleast one of the two lens elements is a Fresnel surface, focal lengthsof the first and second lens elements are f1 and f2 respectively, afocal length of the optical image capturing system is f, an entrancepupil diameter of the optical image capturing system is HEP, a half of amaximum view angle of the optical image capturing system is HAF, adistance on an optical axis from an axial point on an object-sidesurface of the first lens element to an axial point on the image planeis HOS, a horizontal distance in parallel with the optical axis from acoordinate point on the object-side surface of the first lens element atheight ½ HEP to the image plane is ETL, a horizontal distance inparallel with the optical axis from a coordinate point on theobject-side surface of the first lens element at height ½ HEP to acoordinate point on the image-side surface of the second lens element atheight ½ HEP is EIN, and the following relations are satisfied:1.2≦f/HEP≦10.0, 0.5≦HOS/f≦2.5, 0.4≦|tan(HAF)|≦3.0, and 0.2≦EIN/ETL<1.21. The optical image capturing system of claim 20, wherein a horizontaldistance in parallel with the optical axis from a coordinate point onthe image-side surface of the second lens element at height ½ HEP to theimage plane is EBL, a horizontal distance in parallel with the opticalaxis from an axial point on the image-side surface of the second lenselement to the image plane is BL, and the following relation issatisfied: 0.8≦EBL/BL≦1.5.
 22. The optical image capturing system ofclaim 21, wherein a distance from the first lens element to the secondlens element on the optical axis is IN12, and the following relation issatisfied: 0<IN12/f≦0.3.
 23. The optical image capturing system of claim20, wherein a maximum height for image formation on the image planeperpendicular to the optical axis in the optical image capturing systemis denoted by HOI, contrast transfer rates of modulation transfer withspatial frequencies of 10 cycles/mm at the optical axis on the imageplane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 andMTFE7, and the following relations are satisfied: MTFE0≦0.01,MTFE3≦0.01, and MTFE7≦0.01.
 24. The optical image capturing system ofclaim 23, wherein the optical image capturing system satisfies thefollowing relation: 0 mm<HOS≦50 mm.
 25. The optical image capturingsystem of claim 23, further comprising an aperture stop, an imagesensing device and a driving module, the image sensing device isdisposed on the image plane and with at least hundred thousand-pixels, adistance from the aperture stop to the image plane on the optical axisis InS, the driving module couples with the two lens elements todisplace the lens elements, and the following relation is satisfied:0.5≦InS/HOS≦1.5.